09-240/Classnotes for Tuesday December 1

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~In the above gallery, there is a complete copy of notes for the lecture given on December 1st by Professor Natan (in PDF format).

--- Wiki Format ---

MAT240 – December 1st

Basic Properties of :

(Note that det(EA) = det(E)·det(A) and that det(A) may be written as |A|.)



Exchanging two rows flips the sign.


These are "enough"!


Adding a multiple of one row to another does not change the determinant.

The determinant of any matrix can be calculated using the properties above.


If satisfies properties 0-3 above, then

Philosophical remark: Why not begin our inquiry with the properties above?

We must find an implied need for their use; thus, we must know whether a function exists first.